Question

What is the result of simplifying the following expression using the order of operations?

66[9 + (78 - 39) - 13] - 4

A) 788
B) 593
C) 528
D) 665

Answer 1

To simplify the expression 66[9 + (78 - 39) - 13] - 4, we use the order of operations. Simplifying step by step, we find that the result is 2306.

Step-by-step explanation:

To simplify the expression, we must follow the order of operations, which states that we should perform operations inside parentheses first, then any exponentiation, followed by multiplication and division from left to right, and finally addition and subtraction from left to right. Let's simplify the expression step by step:

1. Start by simplifying the expression within the inner parentheses: 78 - 39 = 39.
2. Replace the expression within the parentheses with the simplified value: 66[9 + 39 - 13] - 4.
3. Next, simplify the expression within the square brackets: 9 + 39 - 13 = 35.
4. Replace the expression within the square brackets with the simplified value: 66[35] - 4.
5. Multiply the number outside the square brackets (66) by the value inside the square brackets (35): 66 * 35 = 2310.
6. Replace the expression with the previous multiplication: 2310 - 4.
7. Finally, subtract 4 from 2310 to get the final result: 2306.

Therefore, the result of simplifying the expression is 2306.